The escaping set of transcendental self-maps of the punctured plane
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Publication:4643262
DOI10.1017/etds.2016.36zbMath1390.37078arXiv1412.1032OpenAlexW3100473227MaRDI QIDQ4643262
Publication date: 24 May 2018
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.1032
Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)
Related Items (10)
Extended escaping set for meromorphic functions outside a countable set of transcendental singularities ⋮ Spiders' webs in the punctured plane ⋮ On the connectivity of the escaping set in the punctured plane ⋮ Dynamic rays of bounded-type transcendental self-maps of the punctured plane ⋮ Escaping sets are not sigma-compact ⋮ Function theory on annuli ⋮ Escaping Fatou components of transcendental self-maps of the punctured plane ⋮ On slow escaping and non-escaping points of quasimeromorphic mappings ⋮ The dynamics of quasiregular maps of punctured space ⋮ Escaping points of commuting meromorphic functions with finitely many poles
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